Identify, Classify, Add, Subtract, Multiply and Divide Polynomials

Add to Simplify:
 (4x - 2x³) + (5x³ - 4x + 5)

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5

• 3x³ +8x

• x³+3x² +8x

• 2x² +8x

• x³-3x³ +8x²

• 23x^5_11x

• -5x⁵-x

• 23x⁵+11x

• 5x⁵+x

Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4  R(-12)

• 2x² - 2x + 6  R(-23)

• 2x² - 2x + 8  R(-20)

• 2x² - 4x + 1  R0

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0

• 2x-10

• -2x-10

• 2x+10

Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)

• 3x³-2x²+3x+2

• 3x³+x²+2

• 3x³-5x²-2

• 3x³-x²+1

Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)

• 2x²+x+1

• 2x²-5x+3

• 2x²-x+1

• 4x²-5x+3

Subtract the following polynomials:
(2x³+6x²+4x-2)-(x³+4x²-x)

• x³+2x²+5x-2

• x³+10x²+3x-2

• 3x³+2x+4x-3

• 3x³+10x²-3x-2

Multiply the following polynomial by the monomial:

3x(4x² - x - 3)

• 12x² - 3x - 9

• 7x³ - 3x² - 6x

• 12x³ - 3x² - 9x

• 12x³ - 3x² - 6

Find the product:

• 6x² + 16x + 8

• 5x² +11x + 6

• 5x² + 16x + 6

• 6x² + 11x + 8